Hierarchy in temporal quantum correlations
arXiv:1710.11387 · doi:10.1103/PhysRevA.98.022104
Abstract
Einstein-Podolsky-Rosen (EPR) steering is an intermediate quantum correlation that lies in between entanglement and Bell non-locality. Its temporal analogue, temporal steering, has recently been shown to have applications in quantum information and open quantum systems. Here, we show that there exists a hierarchy among the three temporal quantum correlations: temporal inseparability, temporal steering, and macrorealism. Given that the temporal inseparability can be used to define a measure of quantum causality, similarly the quantification of temporal steering can be viewed as a weaker measure of direct cause and can be used to distinguish between direct cause and common cause in a quantum network.
10 pages, 3 figures
References in corpus (18)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Witnessing Quantum Coherence: from solid-state to biological systems
- Experimental Verification of an Indefinite Causal Order
- Beyond Bell's Theorem: Correlation Scenarios
- Joint measurability of generalized measurements implies classicality
- Information-Theoretic Implications of Quantum Causal Structures
- The conditions for quantum violation of macroscopic realism
- Inferring causal structure: a quantum advantage
- Necessary and sufficient conditions for macroscopic realism from quantum mechanics
- Can a quantum state over time resemble a quantum state at a single time?
- Comparing Conditions for Macrorealism: Leggett-Garg Inequalities vs No-Signaling in Time
- Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
- A Unifying Framework for Spatial and Temporal Quantum Correlations
- Spatio-Temporal Steering for Testing Nonclassical Correlations in Quantum Networks
- Unified picture for spatial, temporal and channel steering
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- Quantum Steering
- Experimental test of non-macrorealistic cat-states in the cloud
- Experimental demonstration of measurement-device-independent measure of quantum steering
- Quantifying Quantumness of Channels Without Entanglement
- Quantum non-Markovianity: Overview and recent developments
- Leggett-Garg Macrorealism and temporal correlations
- Experimental hierarchy and optimal robustness of quantum correlations of two-qubit states with controllable white noise
- Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
- Subtleties of witnessing quantum coherence in non-isolated systems
- Experimental hierarchy of two-qubit quantum correlations without state tomography
- Quantum causal correlations and non-Markovianity of quantum evolution
- Inferring the arrow of time in quantum spatiotemporal correlations
- Self-testing of binary Pauli measurements requiring neither entanglement nor any dimensional restriction
- Quantum steering as a witness of quantum scrambling
- Benchmarking Quantum State Transfer on Quantum Devices using Spatio-Temporal Steering
- Maxwell's two-demon engine under pure dephasing noise
- Experimental hierarchy of the nonclassicality of single-qubit states via potentials for entanglement, steering, and Bell nonlocality
- Observation of Full Hierarchy of Temporal Quantum Correlations with a Superconducting Qubit
- Protecting temporal correlations of two-qubit states using quantum channels with memory
- Hierarchy and robustness of multilevel two-time temporal quantum correlations
- Role of nonclassical temporal correlation in powering quantum random access codes
- Measurement-device-independent measure of steerability and witnesses for all steerable resources
- Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations
- Quantum Entanglement in Time
- Quantum direct cause across the Cherenkov threshold in circuit QED